Call Now: (800) 537-1660
 Home    Why?     Free Solver   Testimonials    FAQs    Product    Contact

May 20th

May 20th

# Course Outline for Precalculus

Course Description: This course provides a working knowledge of precalculus and its applications.
It begins with a review of algebraic operations . Emphasis is on solving and graphing equations that involve
linear, polynomial, exponential, and logarithmic functions . Students learn to graph trigonometric and inverse
trigonometric functions and learn to use the family of trigonometric identities. Other topics include conic
sections, arithmetic and geometric sequences, and systems of equations.

Course Objectives: After completing this course, students will be able to:

• Perform operations on real numbers and polynomials.
• Simplify algebraic, rational, and radical expressions .
• Solve linear and quadratic equations and inequalities.
• Solve word problems involving linear and quadratic equations and inequalities.
• Solve polynomial, rational, and radical equations and applications.
• Solve and graph linear, quadratic, absolute value, and piecewise-defined functions.
• Perform operations with functions as well as find composition and inverse functions.
• Graph quadratic, the square root , cubic, and cube root functions.
• Graph and find zeroes of polynomial functions.
• Graph quadratic functions by completing the square, using the vertex formula , and using
transformations.
• Solve and graph exponential and logarithmic equations.
• Express angle measure in degrees or radians.
• Evaluate and simplify trigonometric expressions.
• Know the six trigonometric functions and how to evaluate those trigonometric functions using
positions on the unit circle with respect to the right triangle.
• Graph trigonometric and inverse trigonometric functions.
• Use trigonometric functions to solve a right triangle and apply the Law of Sines and the Law of
Cosines to solve triangles that are acute or obtuse.
• Solve systems of linear equations and inequalities.
• Model and solve applications using linear systems.
• Evaluate and find partial sums of a series .
• Evaluate and find sums of an arithmetic sequence and a geometric sequence.
• Solve application problems involving arithmetic and geometric sequences and series.
• Define, identify, and graph conic sections including circle, ellipse, parabola, and hyperbola.

Course Text

Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. Precalculus, 6th edition, McGraw-Hill, 2008.
ISBN: 978-0-07-331263-7.

Important Terms

In this course, different terms are used to de signate tasks :

• Practice Exercise: A non-graded assignment to assist you in practicing the skills discussed in a
topic.

Course Evaluation Criteria

Students earn a percentage score. A passing percentage is 70% or higher. There are a total of 500 points
in the course:

 Topics Assessment Points Available 1, 2, 3 & 4 Graded Exam #1 100 5, 6, 7 & 8 Graded Exam #2 100 9 & 10 Graded Exam #3 100 11, 12, 13 & 14 Graded Exam #4 100 Comprehensive Final Graded Exam #5 100